Non-parametric identification of the linear dynamic parts of non-linear systems containing one static non-linearity

2002 ◽  
Author(s):  
G. Vandersteen
Keyword(s):  
Linear Systems ◽  
Parametric Identification ◽  
Linear Dynamic ◽  
Non Linear ◽  
Non Linear Systems ◽  
Non Parametric

Non-Parametric Identification of Asymmetric Signals and Characterization of a Class of Non-Linear Systems Based on Frequency Modulation

2016 ◽  
Author(s):  
Václav Ondra ◽  
Ibrahim A. Sever ◽  
Christoph W. Schwingshackl
Keyword(s):  
Linear Systems ◽  
Hilbert Transform ◽  
Frequency Modulation ◽  
Parametric Identification ◽  
Free Decay ◽  
Non Linear ◽  
Non Linear Systems ◽  
The Hilbert Transform ◽  
Non Parametric

Non-parametric and parametric identification of a non-linear system is often performed by estimating instantaneous amplitude and frequency using the Hilbert transform. However, the Hilbert transform cannot be used for the accurate analysis of asymmetric signals and the reliable estimation of intra-wave frequency modulation. This paper proposes two alternatives to the Hilbert transform which not only avoid some of its mathematical and numerical issues, but also allow the above mentioned analyses. The first method, based on zero-crossing, allows the backbone and damping curves as well as the elastic and damping force characteristics of an asymmetric free decay to be identified. The application and accuracy of this method are demonstrated on the free decay of the system with off-centre clearance. The second method, based on direct quadrature, estimates intrawave frequency modulation frequency with sufficient resolution for characterization of non-linear systems which have stiffness non-linearities. The use of this method is shown on a system with cubic hardening stiffness.

Non-parametric fault detection methods in non-linear systems

2016 ◽  
Vol 10 (3) ◽  
pp. 167-176 ◽  
Author(s):  
Elham Kowsari ◽  
Behrooz Safarinejadian ◽  
Jafar Zarei
Keyword(s):  
Fault Detection ◽  
Linear Systems ◽  
Detection Methods ◽  
Non Linear ◽  
Parametric Fault ◽  
Non Linear Systems ◽  
Non Parametric

scholarly journals A linear dynamic feedback controller for non-linear systems described by matrix differential equations of the second and first orders

2019 ◽  
Vol 52 (7-8) ◽  
pp. 913-921 ◽  
Author(s):  
Paweł Skruch ◽  
Marek Długosz
Keyword(s):  
Differential Equations ◽  
Linear Systems ◽  
Differential Algebraic Equations ◽  
Feedback Controller ◽  
Dynamic Feedback ◽  
Algebraic Equations ◽  
Linear Dynamic ◽  
Wide Range ◽  
Non Linear ◽  
Non Linear Systems

The paper presents a design scheme of the linear dynamic feedback controller for some non-linear systems. These systems are mathematically described by matrix non-linear differential equations of the first and second orders. A first-order form of the studied systems includes some types of differential-algebraic equations. The stability property of the non-linear systems with the linear controller is assured by an appropriate definition of the system output, and the linear dynamic compensator is an important part of the feedback control system. The order of the dynamic part is equal to the size of the system input and is independent of the size of the system state vector. The asymptotic stability in the Lyapunov sense is analysed and proved by the use of Lyapunov functionals and LaSalle’s invariance principle. Stabilisation in a wide range of controller parameters improves the system’s robustness.

Holomorphically projective mappings between generalized m-parabolic Kähler manifolds

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4865-4873 ◽  
Author(s):  
Milos Petrovic
Keyword(s):  
Linear Systems ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Covariant Derivatives ◽  
Linearly Independent ◽  
Non Linear ◽  
Non Linear Systems ◽  
Curvature Tensors ◽  
Derivatives Of

Generalized m-parabolic K?hler manifolds are defined and holomorphically projective mappings between such manifolds have been considered. Two non-linear systems of PDE?s in covariant derivatives of the first and second kind for the existence of such mappings are given. Also, relations between five linearly independent curvature tensors of generalized m-parabolic K?hler manifolds with respect to these mappings are examined.

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